Functional equations for Hurwitz series and partial zeta functions of orders.

DOI10.1515/crll.1986.364.130zbMath0575.12008OpenAlexW4235357939MaRDI QIDQ3695355

Irving Reiner, Colin J. Bushnell

Publication date: 1986

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002203189

zbMATH Keywords

functional equationharmonic analysisorderlocally compact groupsHurwitz seriespartial zeta- functionsemisimple \({\mathbb{Q}}\)-algebra

Mathematics Subject Classification ID

Adèle rings and groups (11R56) Dirichlet series, exponential series and other series in one complex variable (30B50) Hurwitz and Lerch zeta functions (11M35) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

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Zeta Functions of Burnside Rings of Groups of Orderpandp² ⋮ Functional equations for zeta functions of non-Gorenstein orders in global fields

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